`int(ax^3+bx^2+cx+d)dx`

If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 then the equation ax^3 + bx^2 + cx + d =0 has

int(ax+b)sqrt (cx+d)dx

int (ax^2+bx+c)dx =

Evaluate: int(ax+b)sqrt (cx+d)dx

Find the values of a,b,c,d, if 1,2,3,4 are the roots of x^4 +ax^3 +bx^2 +cx +d=0

If the roots of ax^(3) + bx^2 + cx + d=0 are in G.P then the roots of dx^3 - cx^2 + bx -a=0 are in

ax^3 + bx^2+cx +d =0 In the equation above, a, b, c, and d are constants. If the equation has roots −1, −3, and 5, which of the following is a factor of ax^3 + bx^2 + cx + d ?

If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots of ax sqrt(x) + bx +c sqrt (x ) +d=0 are

If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

Let f(x) = ax^3 + bx^2 + cx + d sin x . Find the condition that f(x) is always one-one function.